2100111221100 has 72 divisors (see below), whose sum is σ = 6076507953600. Its totient is φ = 560012502080.

The previous prime is 2100111221071. The next prime is 2100111221141. The reversal of 2100111221100 is 11221110012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11961751 + ... + 12136049.

It is an arithmetic number, because the mean of its divisors is an integer number (84395943800).

Almost surely, 2^{2100111221100} is an apocalyptic number.

2100111221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100111221100 is an abundant number, since it is smaller than the sum of its proper divisors (3976396732500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100111221100 is a wasteful number, since it uses less digits than its factorization.

2100111221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214479 (or 214472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100111221100 its reverse (11221110012), we get a palindrome (2111332331112).

The spelling of 2100111221100 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".